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itemprop="mainEntityOfPage" href="http://yoursite.com/2021/07/03/%E6%95%B0%E6%8D%AE%E7%BB%93%E6%9E%84/acwing/sjjg_1/"><span hidden itemprop="author" itemscope itemtype="https://schema.org/Person"><meta itemprop="name" content="李子康"><meta itemprop="description"></span><span hidden itemprop="publisher" itemscope itemtype="https://schema.org/Organization"><meta itemprop="name" content="Lizikang_Blog"></span><header class="post-header"><h1 class="post-title" itemprop="name headline">数据结构 第一讲 时间复杂度、特殊矩阵的存储和压缩</h1><div class="post-meta"><div class="post-time" style="display:inline-block"><span class="post-meta-item-icon"><svg class="icon" aria-hidden="true"><use xlink:href="#icon-calendar-line"></use></svg></span> <time title="创建时间：2021-07-03 00:00:00" itemprop="dateCreated datePublished" datetime="2021-07-03T00:00:00+08:00">2021-07-03</time><span class="post-meta-divider">-</span><span class="post-meta-item-icon"><svg class="icon" aria-hidden="true"><use 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href="/categories/%E6%95%B0%E6%8D%AE%E7%BB%93%E6%9E%84/acwing/" style="--text-color:var(--hty-text-color)" itemprop="url" rel="index"><span itemprop="text">acwing</span></a></span></span><span class="post-tag"><span class="post-meta-divider">-</span><a class="tag" href="/tags/%E6%95%B0%E6%8D%AE%E7%BB%93%E6%9E%84/" style="--text-color:var(--hty-text-color)"><span class="post-meta-item-icon"><svg class="icon" aria-hidden="true"><use xlink:href="#icon-price-tag-3-line"></use></svg></span><span class="tag-name">数据结构</span></a></span></div></div></header><section class="post-body" itemprop="articleBody"><div class="post-content markdown-body" style="--smc-primary:black;"><h3 id="第一讲-时间复杂度、特殊矩阵的存储和压缩"><a href="#第一讲-时间复杂度、特殊矩阵的存储和压缩" class="headerlink" title="第一讲 时间复杂度、特殊矩阵的存储和压缩"></a>第一讲 时间复杂度、特殊矩阵的存储和压缩</h3><h4 id="一、时间、空间复杂度"><a href="#一、时间、空间复杂度" class="headerlink" title="一、时间、空间复杂度"></a>一、时间、空间复杂度</h4><p>​    只考虑<strong>次数</strong>，不考虑<strong>常数</strong>。常见复杂度有：O(1)、O(n)、O(n^k)、O(logn)、O(nlogn)<br>​    考题：2011-1、2012-1、2013-1、2014-1、2017-1、2019-1</p>
<p>2011-1    A</p>
<p><img src="https://gitee.com/li_zikang/lzk-image/raw/master/img/image-20210703114145110.png" alt="image-20210703114145110" loading="lazy"></p>
<p>2013-1     D</p>
<p><img src="https://gitee.com/li_zikang/lzk-image/raw/master/img/image-20210703114344332.png" alt="image-20210703114344332" loading="lazy"></p>
<p>2014-1     C</p>
<p><img src="https://gitee.com/li_zikang/lzk-image/raw/master/img/image-20210703114413027.png" alt="image-20210703114413027" loading="lazy"></p>
<p>2017-1    B</p>
<p><img src="https://gitee.com/li_zikang/lzk-image/raw/master/img/image-20210703114509847.png" alt="image-20210703114509847" loading="lazy"></p>
<p>2019-1     B</p>
<p><img src="https://gitee.com/li_zikang/lzk-image/raw/master/img/image-20210703114638924.png" alt="image-20210703114638924" loading="lazy"></p>
<h4 id="二、特殊矩阵的存储和压缩"><a href="#二、特殊矩阵的存储和压缩" class="headerlink" title="二、特殊矩阵的存储和压缩"></a>二、特殊矩阵的存储和压缩</h4><p>​    矩阵的按行展开、按列展开，展开后下标从0开始。</p>
<blockquote>
<p>按行展开</p>
<p><img src="https://gitee.com/li_zikang/lzk-image/raw/master/img/image-20210703121115993.png" alt="image-20210703121115993" loading="lazy"></p>
<p>按列展开</p>
<p><img src="https://gitee.com/li_zikang/lzk-image/raw/master/img/image-20210703121136666.png" alt="image-20210703121136666" loading="lazy"></p>
</blockquote>
<p>​    考题：2016-4、2018-3、2020-1</p>
<p>2016-4   B </p>
<p><img src="https://gitee.com/li_zikang/lzk-image/raw/master/img/image-20210703114904512.png" alt="image-20210703114904512" loading="lazy"></p>
<blockquote>
<p>2+3*28+2 = 88  88-1 = 87</p>
<p><img src="https://gitee.com/li_zikang/lzk-image/raw/master/img/image-20210703115924738.png" alt="image-20210703115924738" loading="lazy"></p>
</blockquote>
<p>2018-3  A</p>
<p><img src="https://gitee.com/li_zikang/lzk-image/raw/master/img/image-20210703115134910.png" alt="image-20210703115134910" loading="lazy"></p>
<blockquote>
<p>12+11+10+9+8 + 1 =  (8+12)*5/2 + 1 = 51</p>
<p>51-1 = 50;</p>
<p><img src="https://gitee.com/li_zikang/lzk-image/raw/master/img/image-20210703120954271.png" alt="image-20210703120954271" loading="lazy"></p>
</blockquote>
<p>2020-1</p>
<p><img src="https://gitee.com/li_zikang/lzk-image/raw/master/img/image-20210703115456047.png" alt="image-20210703115456047" loading="lazy"></p>
<blockquote>
<p>1+2+3+4+5+6 + 2 = (1+6)*6/2 +2 = 23</p>
<p>23-1 = 22 ;</p>
<p><img src="https://gitee.com/li_zikang/lzk-image/raw/master/img/image-20210703120852166.png" alt="image-20210703120852166" loading="lazy"></p>
</blockquote>
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  const msPerMinute = 60 * 1000;
  const msPerHour = 60 * msPerMinute;
  const msPerDay = 24 * msPerHour;
  const passDay = Math.floor(timeDiff / msPerDay);
  const passHour = Math.floor((timeDiff % msPerDay) / 60 / 60 / 1000);
  const passMinute = Math.floor((timeDiff % msPerHour) / 60 / 1000);
  const passSecond = Math.floor((timeDiff % msPerMinute) / 1000);
  display_live_time.innerHTML = " " + passDay + " 天 " + passHour + " 小时 " + passMinute + " 分 " + passSecond + " 秒";
}
blog_live_time();
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